Fix Immirzi parameter by quasinormal modes in four and higher spacetime dimensions

TL;DR

This paper proposes fixing the Immirzi parameter in Loop Quantum Gravity by analyzing black hole quasinormal modes across multiple dimensions, aligning with black hole entropy and explaining the universal (3) spectrum feature.

Contribution

It introduces a method to determine the Immirzi parameter using quasinormal modes in various spacetime dimensions, linking quantum gravity parameters with classical black hole properties.

Findings

Immirzi parameter fixed by quasinormal modes

Results consistent with Bekenstein-Hawking entropy

Provides quantum gravity insight into (3) spectrum

Abstract

One parameter quantization ambiguity is existed in Loop quantum gravity which is called the Immirzi parameter. In this paper, we fix this free paremater by considering the quasinormal mode spectrum of black holes in four and higher spacetime dimensions. As a consequence, our result consistents with Bekenstein-Hawking entropy of a black hole. Moreover, we also give a possible quantum gravity explanation of the universal $\ln(3)$ behavior of the quasinormal mode spectrum.